What is the slope of the line that contains the points (1, -1) and (-2, 8)?

Solution:

Given points (1, -1) and (-2, 8)

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x

Let x₁ = 1; y₁ = -1, x₂ = -2, y₂ = 8

Slope = m = y₂ - y₁/x₂ - x₁

m = 8 - (-1) / -2 - 1

m = 8 + 1 /-2 - 1

m = 9/-3

Slope = m = -3

Therefore, the slope m is -3.

What is the slope of the line that contains the points (1, -1) and (-2, 8)?

Summary:

The slope of the line that contains the points (1, -1) and (-2, 8) is -3.